Question

si f(x)= x2-x ,demostrar que f(x+1) = f(-x)

Answer 1

Sea:
f(x) = x² - x
f(x) = x(x - 1)

Hallando:
f(x + 1) = (x + 1)(x + 1 - 1)
f(x + 1) = (x + 1)x 
f(x + 1) = x(x + 1)

Hallando:
f(-x) = (-x)(-x - 1)
f(-x) = (-x)(-(x + 1))
f(-x) = x(x + 1) 

Comparando los valores  se ve que son iguales